The Modular Root in Array Cosmology: Forcing of the Rendering Stage H/PSL2(Z) and the Canonical Reading of the Four Axioms

Abstract

Array Cosmology (AC) derives the Standard-Model parameters and the cosmological observables from the four axioms {12,π,ln2, φ} with zero free parameters (Papers I–LXVIII). This paper closes the remaining architectural question: where do the four axioms themselves live? We prove a forcing chain and a reading theorem, and we make the forcing operational.